Realizing regular representations of finite groups

dc.contributor.author	Chocano, Pedro J.
dc.date.accessioned	2024-10-14T11:17:09Z
dc.date.available	2024-10-14T11:17:09Z
dc.date.issued	2024-10-11
dc.description.abstract	Given a regular representation of a finite group G and a positive integer number n, we construct a (finite) topological space X such that its group of homotopy classes of selfhomotopy equivalences E(X) and its group of homeomorphisms Aut(X) are isomorphic to G, and the action of G on the n-th homology group Hn(X) is the regular representation. We also discuss other representations	es
dc.identifier.citation	Pedro J. Chocano, Realizing regular representations of finite groups, Journal of Algebra, 2024, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2024.09.016	es
dc.identifier.doi	10.1016/j.jalgebra.2024.09.016	es
dc.identifier.issn	1090-266X (online)
dc.identifier.issn	0021-8693 (print)
dc.identifier.uri	https://hdl.handle.net/10115/40177
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.rights	Atribución-NoComercial 4.0 Internacional	*
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.rights.uri	http://creativecommons.org/licenses/by-nc/4.0/	*
dc.subject	finite topological spaces	es
dc.subject	finite posets	es
dc.subject	group of automorphisms	es
dc.subject	homology groups	es
dc.subject	representation of finite groups	es
dc.title	Realizing regular representations of finite groups	es
dc.type	info:eu-repo/semantics/article	es

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